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3 years ago

Equations on both sides

Mathematics

2 answers:

BARSIC [14]3 years ago

8 0

The answer would be for this problem is -22

choli [55]3 years ago

6 0

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22

x = -22

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$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the

Marianna [84]

Answer:

Equation: $F=1500(1.0025)^{12t}$

The balance after 5 years is: $1742.43

Step-by-step explanation:

This is a compound growth problem . THe formula is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

$F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}$

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$F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43$

The balance after 5 years is: $1742.43

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3 years ago

The total price for 7 movie tickets is 92.40 . If each ticket costs the same amount, how much does one movie ticket cost?

horsena [70]

Answer:

$13.20

Step-by-step explanation:

total cost of tickets = $92.40

total number of tickets = 7

cost of each ticket

= total cost of tickets ÷ total number of tickets

= 92.40 ÷ 7

= $13.20

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3 years ago

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Leni [432]

Answer:

D. x ≥ -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

10 - 4x ≤ 50

Step 2: Solve for x

Subtract 10 on both sides: -4x ≤ 40
Divide -4 on both sides: x ≥ -10

Here we see that any value x greater than or equal to -10 would be a solution to the inequality.

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3 years ago